Adaptation on power series method with conformable operator for solving fractional order systems of nonlinear partial differential equations

Basit Öğe Kaydı
dc.contributor.authorLiaqat, Muhammad Imran
dc.contributor.authorKhan, Adnan
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:25:26Z
dc.date.available2024-12-24T19:25:26Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractThe aim of this research work is to modify the power series solution method to fractional order in the sense of conformable derivative to solve a coupled system of nonlinear fractional partial differential equations. We called it the conformable fractional power series method. To evaluate its efficiency and consistency, absolute errors of three problems are considered numerically. Consequences established that our recommended method is unpretentious, accurate, valid, and capable. When solving the nonlinear complications, it has a powerful superiority over the homotopy analysis and Adomian decomposition methods. Additional as in the residual power series method through generating the coefficients for a series, it is compulsory to calculate the fractional derivatives on every occasion, whereas this method only needs the idea of equating coefficients. The convergence and error analyses of the series solutions are also presented.(c) 2022 Elsevier Ltd. All rights reserved.
dc.identifier.doi10.1016/j.chaos.2022.111984
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.scopus2-s2.0-85126588662
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2022.111984
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6415
dc.identifier.volume157
dc.identifier.wosWOS:000781975900009
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofChaos Solitons & Fractals
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectPower series solution method
dc.subjectThe conformable fractional derivative
dc.subjectNonlinear fractional partial differential equa-tions
dc.titleAdaptation on power series method with conformable operator for solving fractional order systems of nonlinear partial differential equations
dc.typeArticle

Dosyalar

Koleksiyon

WOS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu